Homepage [Search] GCSE level chemistry age ~14–16 Advanced pre–university chemistry age ~16–19

Comparing melting points (K) and ionic radii (nm) for group 1 and group 2 metal halides, oxides and sulfides and explanation of melting point trends

 Doc Brown's A-level Chemistry Exam Revision Notes for Revising Advanced A-Level Chemistry

[Author ©  Dr Phil Brown PhD: Doc Brown's exam revision notes suitable for students of advanced pre–university A-level theoretical–physical chemistry courses: [updated RE-EDIT]

email doc brown - comments - query? * [privacy policy, cookies and disclaimer]

Born-Haber Cycle and Lattice Enthalpy INDEX

Energetics–Thermochemistry–Thermodynamics Notes INDEX


2.2l Comparing melting points (K) and ionic radii (nm) for group 1 and group 2 halides, oxides and sulfides and discussion of melting point trends

(compiled from various data sources, which can vary!)

M = group 1 or group 2 metal  and X = group 6/16 or group 7/17 halogen non–metal

The formulae are either MX, M2X, MX2 or MX e.g. NaCl, Na2O, Na2S, MgCl2, MgO, MgS etc.

LATTICE radius/nm 0.133 0.180 0.195 0.215 0.140 0.185
radius/nm IONS↓→ F Cl Br I O2 S2
0.074 Li+ 1118 878  823  722 1973 1211
0.102 Na+ 1266 1074 1020  934 1548 sub 1453
0.138 K+ 1131 1043 1007  954  623 dec. 1113
0.149 Rb+ 1068  991  966  920 ~720 dec.  803 dec.
0.170 Cs+  955  918  909  899 ~760 ~750
Group 1 Group 2            
0.027 Be2+ 1073 sub  678  753 sub  ~750 2823 ~2070
0.072 Mg2+ 1534  987  973 <910 dec 3125 2273 dec.
0.100 Ca2+ 1696 1055 1003 1057 ? 2887 2673 dec.
0.113 Sr2+ 1746 1148  916  788 2703 2273
0.136 Ba2+ 1628 1236 1120 1013 2191 1473

Discussion of the trends in melting points

What you might expect and why?

As already described above for lattice enthalpies of ionic compounds, many melting point trends can be explained with reference to Coulomb's inverse–square law relating the attractive force between two electrically charged particles

F c+ x c / d2 

(Note that d = r+ + r (d = total of the two ionic radii)

The smaller the ionic radii and the greater the charge on the ions, the stronger the ionic bond and the higher the melting point.

BUT, small ionic cation radii with a high charge density and/or combined with larger more polarizable anions can produce varying degrees of covalent character i.e. decrease in ionic character of the ionic bond.

There are also comparison problems due to differences in the arrangement of ions in the crystal lattice.

For cations, the smaller the radius and the greater the ionic charge, the greater the charge density – the greater its attractive force towards a negative anion of an ionic bond and increasing the melting point – greater KE needed to break the ionic bond ...

BUT, these two factors also increase the ability of the cation to polarise an anion and create covalent character in the bond, which may lead to a decrease in melting point compared to a purely ionic structure.

 

Typical melting point trends, but not always consistent

Group 1 chlorides from LiCl to LiI, decrease in melting point down the group, but LiF anomalous.

In fact few trends are completely straight forward, quite unlike the much more consistent trends in lattice enthalpies.

One reason is that the lattice arrangement of ions might not be the same for a particularly series for comparison.

Another reason might be the influence of covalent character lowering the melting point versus more pure ionic character strengthening the electrostatic attraction between the ions.

For the same Group 1 or Group 2 metal ion, there are more consistent trends e.g. generally speaking the melting point trend is:

melting point of fluoride > chloride > bromide > iodide (> astatide)

This fits in with increasing anion radius reducing the Coulombic electrostatic force, so reducing the inter-ionic bonding force, and also fits in with decreasing ionic character,

For the same cation you might expect the oxides, with a smaller ionic radius to be higher melting than the corresponding sulfide, and this is true in most cases.

So, you would expect the melting point of oxide > sulfide for a given Group 1 or Group 2 cation and the trend is reasonably consistent.


Energetics–Thermochemistry–Thermodynamics Notes INDEX

Born-Haber Cycle and Lattice Enthalpy INDEX

TOP OF PAGE